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4 years ago

5x + 6(x - 2) - 8 (x - 3)

Mathematics

1 answer:

Alex Ar [27]4 years ago

5 0

Answer:

The value of $x=-4$ . The figure is also attached below.

Step-by-step explanation:

Considering the expression

$5x + 6(x - 2) - 8 (x - 3)$

If we have to find the vale of $x$ , then

$5x + 6(x - 2) - 8 (x - 3)=0$

$5x+6x-12-8\left(x-3\right)=0$

$5x+6x-12-8x+24=0$

$3x+12=0$

$\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}$

$3x+12-12=0-12$

$3x=-12$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{-12}{3}$

$x=-4$

Therefore, the value of $x=-4$ . The figure is also attached below.

Keywords: equation

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Please help find surface area!!

NeTakaya

Answer:

138 cm.

Step-by-step explanation:

So first, we find the S.A. of the front and back.

The diagram says the side length of the front is 3 cm. and 3 cm.

3x3=9. So then, the back is also 9 cm, 9+9=18.

Now to find the S.A.'s of the four sides, you have to see the side lengths of each of them. The side lengths are 3 and 10.

3x10=30. This means each of them is 30 cm.

30x4=120. 120 is the total surface area of the four sides.

To find the total surface area of the whole rectangle, you add all the surface areas.

120+18=138 cm. (Not squared, since it's surface area and not area.)

3 0

3 years ago

John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.

IRINA_888 [86]

Complete question :

John and Kamira are playing a game. John's score (J) and Kamira's score (K) after round 1 are shown on the number line.

The score recorded at the end of the first round is 2.

What could this score represent?

Options :

the sum of John's score and Kamira's score

the difference between John's score and Kamira's score

the absolute value of the difference of John's score and Kamira's score

the sum of the absolute value of John's score and the absolute value of Kamira's score

Answer:

the sum of John's score and Kamira's score

Step-by-step explanation:

Given that :

The score recorded at the end of the round is 2

From the attached number line :

John's score = - 5

Kamira's score = 7

Sum = - 5 + 7 = 2

Difference = - 5 - 7 = - 12

Sum of absolute value = 5 + 7 = 12

absolute value of difference = 12

3 0

3 years ago

Read 2 more answers

Write your question here (Keep it simple and clear to get the best answer)what is the domain of the function y=✓3-s?

Ilya [14]

Answer: D: s∈ (-∞, 3]

Step-by-step explanation:

When we have a function:

y = f(x)

The domain is the set of the possible values we can input in f(x).

In this case, we have:

y = √(3 - s)

Where our variable is s.

So we want to find the possible values of s we can input in that function.

Remember that if y is a real number, then we can not have a negative number inside the square root, because it will lead to an complex solution.

Then the argument of the square root needs to be equal to or larger than zero.

This means that:

3 - s ≥ 0

From this inequality, we can find the possible values of s, which will be the domain.

We need to isolate s.

3 ≥ s

This means that s needs to be smaller than or equal to 3.

Then the domain is:

D: s∈ (-∞, 3]

6 0

3 years ago

Write the first three terms of the series for which tn = 2(n+3). Find the number of terms of the series required to make the sum

ira [324]

Answer:

The first three terms of the series are 8, 10 and 12. The number of terms is 12 to make the sum 228.

Step-by-step explanation:

The series is defined as

$t_n=2(n+3)$

Put n=1.

$t_1=2(1+3)=2\times 4=8$

Put n=2.

$t_2=2(2+3)=2\times 5=10$

Put n=3.

$t_3=2(3+3)=2\times 6=12$

The first three terms of the series are 8, 10 and 12.

It is an arithmetic series. The first terms is 8 and the common difference is

$d=a_2-a_1=10-8=2$

The sum of n terms of an arithmetic series is

$S_n=\frac{n}{2}[2a+(n-1)d]$

$288=\frac{n}{2}[2(8)+(n-1)2]$

$288=\frac{2n}{2}[8+n-1]$

$288=n[n+7]$

$0=n^2+7n-288$

$0=n^2+19n-12n-288$

$0=n(n+19)-12(n+19)$

$0=(n+19)(n-12)$

Equate each factor equal to zero.

$n=-19,12$

The number of terms can not be negative, therefore the value of n must be 12.

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3 years ago

What can you conclude about the two triangles? why?

ehidna [41]

How are the two triangles?

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3 years ago